Question

a biking track has a length of 3696 feet (ft). how long is this in miles (mi)?
first fill in the blank on the left side of the equation using one of the ratios. then write your answer on the right side of the equation.
ratios:
$\frac{1 \text{mi}}{1760 \text{yd}}$ $\frac{1760 \text{yd}}{1 \text{mi}}$ $\frac{1 \text{yd}}{36 \text{in}}$ $\frac{36 \text{in}}{1 \text{yd}}$ $\frac{5280 \text{ft}}{1 \text{mi}}$ $\frac{1 \text{mi}}{5280 \text{ft}}$
$\frac{3696 \text{ft}}{1} \times square = square \text{mi}$

Explanation:

Step1: Select conversion ratio

Choose $\frac{1\ \text{mi}}{5280\ \text{ft}}$ to convert feet to miles.

Step2: Set up conversion equation

Multiply the given length by the ratio:
$3696\ \text{ft} \times \frac{1\ \text{mi}}{5280\ \text{ft}}$

Step3: Calculate the result

Cancel units and compute:
$\frac{3696}{5280}\ \text{mi} = 0.7\ \text{mi}$

Answer:

Blank (ratio): $\boldsymbol{\frac{1\ \text{mi}}{5280\ \text{ft}}}$
Final length: $\boldsymbol{0.7}$ mi